The authors obtain closed-form solutions for the mean, covariance, and total mass of a Gaussian population evolving under a quadratic-fitness replicator-mutator equation, enabling analytical predictions of extinction thresholds and tracking lags.
Evolution and extinction in a changing environment: a quantitative-genetic analysis
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Mathematical description of continuous time and space replicator-mutator equations for quadratic fitness landscapes
The authors obtain closed-form solutions for the mean, covariance, and total mass of a Gaussian population evolving under a quadratic-fitness replicator-mutator equation, enabling analytical predictions of extinction thresholds and tracking lags.